LCM of 750, 926, 134, 607, 670
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 750, 926, 134, 607, 670 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 750, 926, 134, 607, 670. So, keep reading to learn more.
Given numbers are 750,926,134,607,670
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 750,926,134,607,670 is 14122310250.
Find LCM of 750,926,134,607,670 with Prime Factorization
| 2 | 750, 926, 134, 607, 670 |
| 5 | 375, 463, 67, 607, 335 |
| 67 | 75, 463, 67, 607, 67 |
| 75, 463, 1, 607, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 67 x 75 x 463 x 1 x 607 x 1 = 14122310250
Therefore, the lowest common multiple of 750,926,134,607,670 is 14122310250.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
750 x 926 x 134 x 607 x 670 = 37847791470000
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
926 : 1, 2, 463, 926
134 : 1, 2, 67, 134
607 : 1, 607
670 : 1, 2, 5, 10, 67, 134, 335, 670
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 750,926,134,607,670, is 1.
Now, the common factors can be found like this.
750:2x 3x 5x 5x 5
926:2x 463
134:2x 67
607:607
670:2x 5x 67
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 5x 67 = 2680
Therefore, the value for common factors is 2680.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 37847791470000/(1x2680)
LCM = 37847791470000/2680
LCM = 14122310250
Thus, we can understand that the LCM of 750,926,134,607,670 is 14122310250.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 750, 926, 134, 607, 670
1. What is the LCM of 750, 926, 134, 607, 670?
Answer: LCM of 750, 926, 134, 607, 670 is 14122310250.
2. How to calculate the LCM of 750, 926, 134, 607, 670?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 750, 926, 134, 607, 670.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.